Precalculus Examples

,
Step 1
Solve for in .
Tap for more steps...
Step 1.1
Subtract from both sides of the equation.
Step 1.2
Divide each term in by and simplify.
Tap for more steps...
Step 1.2.1
Divide each term in by .
Step 1.2.2
Simplify the left side.
Tap for more steps...
Step 1.2.2.1
Dividing two negative values results in a positive value.
Step 1.2.2.2
Divide by .
Step 1.2.3
Simplify the right side.
Tap for more steps...
Step 1.2.3.1
Simplify each term.
Tap for more steps...
Step 1.2.3.1.1
Divide by .
Step 1.2.3.1.2
Dividing two negative values results in a positive value.
Step 1.2.3.1.3
Divide by .
Step 2
Replace all occurrences of with in each equation.
Tap for more steps...
Step 2.1
Replace all occurrences of in with .
Step 2.2
Simplify the left side.
Tap for more steps...
Step 2.2.1
Simplify each term.
Tap for more steps...
Step 2.2.1.1
Apply the distributive property.
Step 2.2.1.2
Multiply by .
Step 3
Solve for in .
Tap for more steps...
Step 3.1
Add to both sides of the equation.
Step 3.2
Add and .
Step 3.3
Factor the left side of the equation.
Tap for more steps...
Step 3.3.1
Factor out of .
Tap for more steps...
Step 3.3.1.1
Reorder and .
Step 3.3.1.2
Factor out of .
Step 3.3.1.3
Factor out of .
Step 3.3.1.4
Rewrite as .
Step 3.3.1.5
Factor out of .
Step 3.3.1.6
Factor out of .
Step 3.3.2
Factor.
Tap for more steps...
Step 3.3.2.1
Factor using the AC method.
Tap for more steps...
Step 3.3.2.1.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 3.3.2.1.2
Write the factored form using these integers.
Step 3.3.2.2
Remove unnecessary parentheses.
Step 3.4
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 3.5
Set equal to and solve for .
Tap for more steps...
Step 3.5.1
Set equal to .
Step 3.5.2
Add to both sides of the equation.
Step 3.6
Set equal to and solve for .
Tap for more steps...
Step 3.6.1
Set equal to .
Step 3.6.2
Subtract from both sides of the equation.
Step 3.7
The final solution is all the values that make true.
Step 4
Replace all occurrences of with in each equation.
Tap for more steps...
Step 4.1
Replace all occurrences of in with .
Step 4.2
Simplify the right side.
Tap for more steps...
Step 4.2.1
Simplify .
Tap for more steps...
Step 4.2.1.1
Raise to the power of .
Step 4.2.1.2
Add and .
Step 5
Replace all occurrences of with in each equation.
Tap for more steps...
Step 5.1
Replace all occurrences of in with .
Step 5.2
Simplify the right side.
Tap for more steps...
Step 5.2.1
Simplify .
Tap for more steps...
Step 5.2.1.1
Raise to the power of .
Step 5.2.1.2
Add and .
Step 6
The solution to the system is the complete set of ordered pairs that are valid solutions.
Step 7
The result can be shown in multiple forms.
Point Form:
Equation Form:
Step 8
Enter YOUR Problem
Mathway requires javascript and a modern browser.